Hasumi, Marisuke Invariant subspaces on open Riemann surfaces. (English) Zbl 0287.46066 Ann. Inst. Fourier 24, No. 4, 241-286 (1974). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 8 Documents MSC: 46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces 30D55 \(H^p\)-classes (MSC2000) 30E20 Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane 46J30 Subalgebras of commutative topological algebras PDFBibTeX XMLCite \textit{M. Hasumi}, Ann. Inst. Fourier 24, No. 4, 241--286 (1974; Zbl 0287.46066) Full Text: DOI Numdam EuDML References: [1] [1] , On two problems concerning linear transformations in Hilbert space, Acta Math., 81 (1949), 239-255. · Zbl 0033.37701 [2] [2] et , Espaces et lignes de Green, Ann. Inst. Fourier, Grenoble, 3 (1952), 199-264. · Zbl 0046.32701 [3] [3] and , Ideale Ränder Riemannscher Flächen, Ergebnisse der Mathematik und ihrer Grenzgebiete, 32, Springer, Berlin, 1963. · Zbl 0112.30801 [4] [4] , Bounded holomorphie functions and projections, Illinois J. Math., 10 (1966), 367-380. · Zbl 0141.31401 [5] [5] , Invariant subspace theorems for finite Riemann surfaces, Canad. J. Math., 18 (1966), 240-255. · Zbl 0172.41603 [6] [6] , Ideals and submodules of analytic functions on infinitely connected plane domains. Thesis, University of Illinois at Urbana-Champaign, 1972. [7] [7] , Invariant subspaces of Hardy classes on infinitely connected plane domains, Bull. Amer. Math. Soc., 78 (1972), 857-860. · Zbl 0266.46040 [8] [8] , Invariant subspaces of Hardy classes on infinitely connected open surfaces (to appear). · Zbl 0314.46052 [9] [9] , A converse of Cauchy’s theorem and applications to extremal problems, Acta Math., 100 (1958), 1-22. · Zbl 0142.04503 [10] [10] , Boundary values of analytic and harmonic functions, Math. Z., 78 (1962), 1-24. · Zbl 0196.33701 [11] [11] and , The space of bounded analytic functions on a region, Ann. Inst. Fourier, Grenoble, 16 (1966), 235-277. · Zbl 0152.13202 [12] [12] and , Classification theory of Riemann surfaces, Die Grundlehren der mathematischen Wissenschaften, 164, Springer, Berlin, 1970. · Zbl 0199.40603 [13] [13] , Doubly invariant subspaces, Pacific J. Math., 14 (1964), 701-707. · Zbl 0136.10904 [14] [14] , Simply invariant subspaces and generalized analytic functions, Proc. Amer. Math. Soc., 16 (1965), 813-818. · Zbl 0136.11002 [15] [15] , Ideals and invariant subspaces of analytic functions, Trans. Amer. Math. Soc., 111 (1964), 493-512. · Zbl 0147.11502 [16] [16] , Invariant subspaces on Riemann surfaces, Canad. J. Math., 18 (1966), 399-403. · Zbl 0147.11501 [17] [17] , The maximum principle for multiple-valued analytic functions, Acta Math., 126 (1971), 63-82. · Zbl 0203.38302 [18] [18] , Hp sections of vector bundles over Riemann surfaces, Ann. of Math., 94 (1971), 304-324. · Zbl 0238.32014 [19] [19] , Sur le rôle de la frontière de R. S. Martin dans la théorie du potentiel, Ann. inst. Fourier, Grenoble, 7 (1957), 183-281. · Zbl 0086.30603 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.